Mr. Dennis travels 27.2 miles to work each day.

The map shows the location of a mall, library, and school in a city:

Kamila [148]

Answer:

A) 8 miles.

Step-by-step explanation:

We haven been given a map that shows the location of a mall, library, and school in a city.

First of all we will find the distance traveled by Britney from school to mall and mall to library using distance formula.

$\text{Distance}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Upon substituting the coordinates of school and mall in distance formula we will get,

$\text{Distance between school and mall}=\sqrt{(10-10)^2+(-4-6)^2}$

$\text{Distance between school and mall}=\sqrt{(0)^2+(-10)^2}$

$\text{Distance between school and mall}=\sqrt{0+100}$

$\text{Distance between school and mall}=10$

Now let us find distance between mall and library.

$\text{Distance between mall and library}=\sqrt{(10--14)^2+(6-6)^2}$

$\text{Distance between mall and library}=\sqrt{(10+14)^2+(0)^2}$

$\text{Distance between mall and library}=\sqrt{(24)^2+(0)^2}$

$\text{Distance between mall and library}=\sqrt{576+0}$

$\text{Distance between mall and library}=24$

$\text{Total distance covered by Britney}=\text{10 miles +24 miles}$

$\text{Total distance covered by Britney}=\text{34 miles}$

Therefore, Britney traveled 34 miles.

Now let us find the distance covered by Alice by substituting coordinates of school and library in distance formula.

$\text{Distance covered by Alice}=\sqrt{(10--14)^2+(-4-6)^2}$

$\text{Distance covered by Alice}=\sqrt{(10+14)^2+(-10)^2}$

$\text{Distance covered by Alice}=\sqrt{(24)^2+(-10)^2}$

$\text{Distance covered by Alice}=\sqrt{576+100}$

$\text{Distance covered by Alice}=\sqrt{676}$

$\text{Distance covered by Alice}=26$

Therefore, Alice traveled 26 miles.

$\text{The number of miles Britney traveled more than Alice}=\text{34 miles -26 miles}$

$\text{The number of miles Britney traveled more than Alice}=\text{8 miles}$

Therefore, Britney traveled 8 miles more than Alice and option A is the correct choice.

4 0

2 years ago

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Which equation can be used to find the measure of angle LJK?

Svet_ta [14]

The answer is choice C cos(x)=10/15.

5 0

2 years ago

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Jenna constructs the model to represent 3x2 + 11x – 4. An algebra tile configuration. 0 tiles are in the Factor 1 spot. 0 tiles

makvit [3.9K]

Answer:

the answer is the 2nd one (3x-1) and (x+4)

Step-by-step explanation:

8 0

2 years ago

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What is −34, 0.5, 23,−73, 1.2 in order from least to greatest?

denpristay [2]

Answer:

-73, -34, 0.5, 1.2, 23

Step-by-step explanation:

In Mathematics, the set of numbers are arranged in two ways. It means that the numbers can be arranged either in ascending order or descending order. If the numbers are arranged from the least to the greatest, then it is called ascending order. In this form, the numbers are in increasing order. The first number should be lesser than the second number.

If the numbers are arranged from the greatest to the least, then it is called descending order. In this form, the numbers are in decreasing form. The first number should be greater than the second number.

Also, read: Descending Order

Standard Form

<em>The standard form to represent the least to the greatest arrangement </em>of numbers is given by:

a < b < c < d < …..

Here,

a, b, c, d represent the numbers

Example: 2 < 5 < 7 < 8

5 0

2 years ago

What algebraic expression represents GK, if GK =37, what are GH and JK. GJ=4x+2 and HK=6x-1

torisob [31]

Answer:

The answer is "GK=37, GH=14, and JK=19 ".

Step-by-step explanation:

In the question, an attachment file is missing.so, please find its attached file.

Given values:

GJ=4x+2

HK=6x-1

GK =37

Find:

HJ=?

GK = GJ+JK

= GJ+(HK-HJ)

= 4x+2+((6x-1)-x)

= 4x+2+6x-1-x

=

9x+1...(a)

Solve equation (a) and put the value of x in the equation:

=9(4)+1

=36+1

=37

find GH and JK=?

Given:

GK=37

Formula:

GH = GJ-HJ

= 4x+2- x

= 3x+2....(b)

Solve equation (a):

GK= 9x+1

37=9x+1

36=9x

x=4....(c)

put the value of equation (b) in equation (c)

GH = 3x+2

= 3(4)+2

= 12+2

= 14

Formula:

JK= HK-HJ

= 6x-1- x

= 5x-1

put the value of x in the above equation:

= 5(4)-1

= 20-1

=19

8 0

2 years ago